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Evaluate: int(1+x^2)cos2x\ dx...

Evaluate: `int(1+x^2)cos2x\ dx`

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To evaluate the integral \( I = \int (1 + x^2) \cos(2x) \, dx \), we will use the method of integration by parts. ### Step-by-Step Solution: 1. **Identify the Functions for Integration by Parts:** We will use the integration by parts formula: \[ \int u \, dv = uv - \int v \, du ...
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